Complex wave dynamics in microlasers and nonlocal maps

Complex wave dynamics in microlasers and nonlocal maps. Abstract The optical implementation of complex network is considered for laser cavity formed by active mirrors deposited on the surface of plane-parallel slice, ellipsoidal microball , whose eccentricity is close to 0.5 and equivalent optical circuit, containing amplifying and absorbing media in Fourier-conjugated planes. In this types of microlaser's the self-imaging cavity provides efficient diffractive interconnections between different points of the mirrors. The interconnections could be local, as in plane-parallel geometry, global as in confocal cavity or inhomogeneous one with definite subset of nodes, having much more interconnections than their neighbours. We show how the spatiotem-poral dynamics of this nonlinear resonator is controlled by the geometry of gain-losses distribution making possible the analog modeling of the several generic nonlinear evolution equations.